Elementary Algebra
17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 5.2, Problem 121E
In the following exercises, translate to a system of equations and solve.
121. Mitchell currently sells stoves for company A at a salary of $12,000 plus a $150 commissionfor each stove he sells. Company Boffers him a position with a salary of $24,000 plus a $50 commission for each stove he sells. How many stoves would Mitchell need to sell for the options to be equal?
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Chapter 5 Solutions
Elementary Algebra
Ch. 5.1 - Determine whether the ordered pair is a solution...Ch. 5.1 - Determine whether the ordered pair is a solution...Ch. 5.1 - Solve each system by graphing: {x3y=3x+y=5 .Ch. 5.1 - Solve each system by graphing: {x+y=13x+2y=12 .Ch. 5.1 - Solve each system by graphing: {y=2x+2y=x4 .Ch. 5.1 - Solve each system by graphing: {y=3x+3y=x+7 .Ch. 5.1 - Solve each system by graphing: {x+y=12x+y=10 .Ch. 5.1 - Solve each system by graphing: {2x+y=6x+y=1 .Ch. 5.1 - Solve each system by graphing: {x+y=6xy=2 .Ch. 5.1 - Solve each system by graphing: {x+y=2xy=8 .
Ch. 5.1 - Solve each system by graphing: {y=1x+3y=6 .Ch. 5.1 - Solve each system by graphing: {x=43x2y=24 .Ch. 5.1 - Solve each system by graphing: {y= 1 4x+2x+4y=8 .Ch. 5.1 - Solve each system by graphing: {y=3x16x2y=6 .Ch. 5.1 - Solve each system by graphing: {y=3x66x+2y=12 .Ch. 5.1 - Solve each system by graphing: {y= 1 2x42x4y=16 .Ch. 5.1 - Without graphing, determine the number of...Ch. 5.1 - Without graphing, determine the number of...Ch. 5.1 - Without graphing, determine the number of...Ch. 5.1 - Without graphing, determine the number of...Ch. 5.1 - Without graphing, determine the number of...Ch. 5.1 - Without graphing, determine the number of...Ch. 5.1 - Manny is making 12 quarts of orange juice from...Ch. 5.1 - Alisha is making an 18 ounce coffee beverage that...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - In the following exercises, solve. 63. Molly is...Ch. 5.1 - In the following exercises, solve. 64. Jamal is...Ch. 5.1 - In the following exercises, solve. 65. Enrique is...Ch. 5.1 - In the following exercises, solve. 66. Owen is...Ch. 5.1 - Leo is planning his spring flower garden. He wants...Ch. 5.1 - A marketing company surveys 1,200 people. They...Ch. 5.1 - In a system of linear equations, the two equations...Ch. 5.1 - In a system of linear equations, the two equations...Ch. 5.2 - Solve the system by substitution. {2x+y=11x+3y=9Ch. 5.2 - Solve the system by substitution. {x+3y=104x+y=18Ch. 5.2 - Solve the system by substitution. {x+y=6y=3x2Ch. 5.2 - Solve the system by substitution. {2xy=1y=3x6Ch. 5.2 - Solve the system by substitution. {4x+y=23x+2y=1Ch. 5.2 - Solve the system by substitution. {x+y=44xy=2Ch. 5.2 - Solve the system by substitution. {x5y=134x3y=1Ch. 5.2 - Solve the system by substitution. {x6y=62x4y=4Ch. 5.2 - Solve the system by substitution. {y=3x16y= 1 3xCh. 5.2 - Solve the system by substitution. {y=x+10y= 1 4xCh. 5.2 - Solve the system by substitution. {x4y=43x+4y=0Ch. 5.2 - Solve the system by substitution. {4xy=02x3y=5Ch. 5.2 - Solve the system by substitution....Ch. 5.2 - Solve the system by substitution....Ch. 5.2 - Solve the system by substitution. {3x+2y=9y= 3...Ch. 5.2 - Solve the system by substitution. {5x3y=2y= 5 3x4Ch. 5.2 - The sum of two numbers is 10. One number is 4 less...Ch. 5.2 - The sum of two number is 6 . One number is 10 less...Ch. 5.2 - The perimeter of a rectangle is 40. The length is...Ch. 5.2 - The perimeter of a rectangle is 58. The length is...Ch. 5.2 - The measure of one of the small angles of a right...Ch. 5.2 - The measure of one of the small angles of a right...Ch. 5.2 - Geraldine has been offered positions by two...Ch. 5.2 - Kenneth currently sells suits for company A at a...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - When Gloria spent 15 minutes on the elliptical...Ch. 5.2 - Stephanie left Riverside, California, driving her...Ch. 5.2 - Solve the system of equations {x+y=10xy=6 (a)by...Ch. 5.2 - Solve the system of equations {3x+y=12x=y8 by...Ch. 5.3 - Solve the system by elimination. {3x+y=52x3y=7Ch. 5.3 - Solve the system by elimination. {4x+y=52x2y=2Ch. 5.3 - Solve the system by elimination. {2x+y=5xy=4Ch. 5.3 - Solve the system by elimination. {x+y=32xy=1Ch. 5.3 - Solve the system by elimination. {4x3y=15x9y=4Ch. 5.3 - Solve the system by elimination. {3x+2y=26x+5y=8Ch. 5.3 - Solve the system by elimination. {3x4y=95x+3y=14Ch. 5.3 - Solve the system by elimination. {7x+8y=43x5y=27Ch. 5.3 - Solve the system by elimination. { 1 3x 1 2y=1 3...Ch. 5.3 - Solve the system by elimination. {x+ 3 5y= 1 5 1...Ch. 5.3 - Solve the system by elimination. {5x3y=15y=5+ 5 3xCh. 5.3 - Solve the system by elimination. {x+2y=6y= 1 2x+3Ch. 5.3 - Solve the system by elimination. {3x+2y=89x6y=13Ch. 5.3 - Solve the system by elimination. {7x3y=214x+6y=8Ch. 5.3 - The sum of two numbers is 42. Their difference is...Ch. 5.3 - The sum of two numbers is 15 . Their difference is...Ch. 5.3 - Malik stops at the grocery store to buy a bag of...Ch. 5.3 - To get her daily intake of fruit for the day,...Ch. 5.3 - For each system of linear equations, decide...Ch. 5.3 - For each system of linear equations, decide...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - 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In the following exercises, translate to a system...Ch. 5.3 - In the following exercises, translate to a system...Ch. 5.3 - In the following exercises, decide whether it...Ch. 5.3 - In the following exercises, decide whether it...Ch. 5.3 - In the following exercises, decide whether it...Ch. 5.3 - In the following exercises, decide whether it...Ch. 5.3 - Norris can row 3 miles upstream against the...Ch. 5.3 - Josie wants to make 10 pounds of trail mix using...Ch. 5.3 - Solve the system {x+y=105x+8y=56 (a)by...Ch. 5.3 - Solve the system {x+y=12y=4 1 2x (a) by...Ch. 5.4 - Translate to a system of equations: The sum of two...Ch. 5.4 - Translate to a system of equations: The sum of two...Ch. 5.4 - Translate to a system of equations: A couple has a...Ch. 5.4 - Translate to a system of equations: A senior...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - 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Write an application problem similar to...Ch. 5.4 - Write a uniform motion problem similar to Example...Ch. 5.5 - Translate to a system of equations and solve: The...Ch. 5.5 - Translate to a system of equations and solve: A...Ch. 5.5 - Translate to a system of equations and solve:...Ch. 5.5 - Translate to a system of equations and solve: Juan...Ch. 5.5 - Translate to a system of equations and solve:...Ch. 5.5 - Translate to a system of equations and solve:...Ch. 5.5 - Translate to a system of equations and solve:...Ch. 5.5 - Translate to a system of equations and solve:...Ch. 5.5 - Translate to a system of equations and solve: Leon...Ch. 5.5 - Translate to a system of equations and solve:...Ch. 5.5 - Translate to a system of equations and solve:...Ch. 5.5 - Translate to a system of equations and solve:...Ch. 5.5 - In the following exercises, translate to a system...Ch. 5.5 - In the following exercises, translate to a system...Ch. 5.5 - In the following exercises, translate to a system...Ch. 5.5 - 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Determine whether the ordered pair is a solution...Ch. 5.6 - Solve the system by graphing. {y3x+2yx1Ch. 5.6 - Solve the system by graphing. {y 1 2x+3y3x4Ch. 5.6 - Solve the system by graphing. {x+y2y 2 3x1Ch. 5.6 - Solve the system by graphing. {3x2y6y 1 4x+5Ch. 5.6 - Solve the system by graphing. {y3x2y1Ch. 5.6 - Solve the system by graphing. {x4x2y4Ch. 5.6 - Solve the system by graphing. {3x2y12y 3 2x+1Ch. 5.6 - Solve the system by graphing. {x+3y8y 1 3x2Ch. 5.6 - Solve the system by graphing. {y3x+13x+y4Ch. 5.6 - Solve the system by graphing. {y 1 4x+2x+4y4Ch. 5.6 - A trailer can carry a maximum weight of 160 pounds...Ch. 5.6 - Mary needs to purchase supplies of answer sheets...Ch. 5.6 - Tension needs to eat at least an extra 1,000...Ch. 5.6 - Philip’s doctor tells him he should add at least...Ch. 5.6 - In the following exercises, determine whether each...Ch. 5.6 - In the following exercises, determine whether each...Ch. 5.6 - In the following exercises, determine whether each...Ch. 5.6 - 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- ma Classes Term. Spring 2025 Title Details Credit Hours CRN Schedule Type Grade Mode Level Date Status Message *MATHEMATICS FOR MANAGEME... MTH 245, 400 4 54835 Online Normal Grading Mode Ecampus Undergradu... 03/21/2025 Registered **Web Registered... *SOIL SCIENCE CSS 205, 400 0 52298 Online Normal Grading Mode Undergraduate 03/21/2025 Waitlisted Waitlist03/21/2025 PLANT PATHOLOGY BOT 451, 400 4 56960 Online Normal Grading Mode Undergraduate 03/21/2025 Registered **Web Registered... Records: 3 Schedule Schedule Detailsarrow_forwardHere is an augmented matrix for a system of equations (three equations and three variables). Let the variables used be x, y, and z: 1 2 4 6 0 1 -1 3 0 0 1 4 Note: that this matrix is already in row echelon form. Your goal is to use this row echelon form to revert back to the equations that this represents, and then to ultimately solve the system of equations by finding x, y and z. Input your answer as a coordinate point: (x,y,z) with no spaces.arrow_forward1 3 -4 In the following matrix perform the operation 2R1 + R2 → R2. -2 -1 6 After you have completed this, what numeric value is in the a22 position?arrow_forward
- 5 -2 0 1 6 12 Let A = 6 7 -1 and B = 1/2 3 -14 -2 0 4 4 4 0 Compute -3A+2B and call the resulting matrix R. If rij represent the individual entries in the matrix R, what numeric value is in 131? Input your answer as a numeric value only.arrow_forward1 -2 4 10 My goal is to put the matrix 5 -1 1 0 into row echelon form using Gaussian elimination. 3 -2 6 9 My next step is to manipulate this matrix using elementary row operations to get a 0 in the a21 position. Which of the following operations would be the appropriate elementary row operation to use to get a 0 in the a21 position? O (1/5)*R2 --> R2 ○ 2R1 + R2 --> R2 ○ 5R1+ R2 --> R2 O-5R1 + R2 --> R2arrow_forwardThe 2x2 linear system of equations -2x+4y = 8 and 4x-3y = 9 was put into the following -2 4 8 augmented matrix: 4 -3 9 This augmented matrix is then converted to row echelon form. Which of the following matrices is the appropriate row echelon form for the given augmented matrix? 0 Option 1: 1 11 -2 Option 2: 4 -3 9 Option 3: 10 ܂ -2 -4 5 25 1 -2 -4 Option 4: 0 1 5 1 -2 Option 5: 0 0 20 -4 5 ○ Option 1 is the appropriate row echelon form. ○ Option 2 is the appropriate row echelon form. ○ Option 3 is the appropriate row echelon form. ○ Option 4 is the appropriate row echelon form. ○ Option 5 is the appropriate row echelon form.arrow_forward
- Let matrix A have order (dimension) 2x4 and let matrix B have order (dimension) 4x4. What results when you compute A+B? The resulting matrix will have dimensions of 2x4. ○ The resulting matrix will be a single number (scalar). The resulting matrix will have dimensions of 4x4. A+B is undefined since matrix A and B do not have the same dimensions.arrow_forwardIf -1 "[a446]-[254] 4b = -1 , find the values of a and b. ○ There is no solution for a and b. ○ There are infinite solutions for a and b. O a=3, b=3 O a=1, b=2 O a=2, b=1 O a=2, b=2arrow_forwardA student puts a 3x3 system of linear equations is into an augmented matrix. The student then correctly puts the augmented matrix into row echelon form (REF), which yields the following resultant matrix: -2 3 -0.5 10 0 0 0 -2 0 1 -4 Which of the following conclusions is mathematically supported by the work shown about system of linear equations? The 3x3 system of linear equations has no solution. ○ The 3x3 system of linear equations has infinite solutions. The 3x3 system of linear equations has one unique solution.arrow_forward
- Solve the following system of equations using matrices: -2x + 4y = 8 and 4x - 3y = 9 Note: This is the same system of equations referenced in Question 14. If a single solution exists, express your solution as an (x,y) coordinate point with no spaces. If there are infinite solutions write inf and if there are no solutions write ns in the box.arrow_forwardI need help explaining on this examplearrow_forwardConsider the table of values below. x y 2 64 3 48 4 36 5 27 Fill in the right side of the equation y= with an expression that makes each ordered pari (x,y) in the table a solution to the equation.arrow_forward
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